Construction
| Note | Interval | Degree |
|---|---|---|
| A | Root | 1 |
| C | Minor 3rd | ♭3 |
| E♭ | Diminished 5th | ♭5 |
Fingering
| Note | Key color | Right hand | Left hand |
|---|---|---|---|
| A | white | thumb (1) | little finger (5) |
| C | white | middle finger (3) | middle finger (3) |
| E♭ | black | little finger (5) | thumb (1) |
Right hand: thumb (1) on A, middle finger (3) on C, little finger (5) on E♭.
Left hand: little finger (5) on A, middle finger (3) on C, thumb (1) on E♭.
A Diminished Inversions
- Root positionA – C – E♭
- 1st inversion (Adim/C)C – E♭ – A
- 2nd inversion (Adim/E♭)E♭ – A – C
Key Signature
A Diminished chord is built from symmetrical or ambiguous intervals, so it doesn't belong to a single key and has no key signature of its own.
Chords in the Key of A Major
These are the triads built on each degree of A Major:
How A Diminished functions in a key
The same chord takes on a different harmonic role depending on the key it appears in. Here is where A Diminished sits diatonically across the common keys:
- In B♭ major, A Diminished is the vii° chord — the dominant.
- In G minor, A Diminished is the ii° chord — a predominant.
Scales That Include the A Diminished
- Bb Major (vii°)
- G Minor (ii°)
- C Dorian (vi°)
- D Phrygian (v°)
- Eb Lydian (#iv°)
- F Mixolydian (iii°)
- G Aeolian (ii°)
- A Locrian (i°)
A Diminished : Frequently Asked Questions
What is the A Diminished chord on piano?
What notes are in the A Diminished chord?
How does A Diminished differ from A Minor?
What is the symbol for the A Diminished?
What are the inversions of A Diminished?
How is A Diminished used in music?
What songs use diminished chords?
A Diminished in detail
Exact
Every pitch class is present and nothing outside the chord is added.
| Type | Notes | Semitones | Span | Omissions and additions | Set relation | Fit |
|---|---|---|---|---|---|---|
| Close, root position | A3 C4 E♭4 | 6 | 83 mm | none | identical | |
| Close, first inversion | C4 E♭4 A4 | 9 | 124 mm | none | identical | |
| Close, second inversion | E♭4 A4 C5 | 9 | 124 mm | none | identical | |
| Open, fifth on top | A2 E♭3 C4 | 15 | 206 mm | none | identical |
Reduced
A subset of the pitch classes: the identity is incomplete rather than altered.
| Type | Notes | Semitones | Span | Omissions and additions | Set relation | Fit |
|---|---|---|---|---|---|---|
| Root and third only | A3 C4 | 3 | 41 mm | omits E♭ | subset |
Spans are measured centre to centre at a 165 mm octave (standard keyboard geometry).
| Position | Bass note | Notes in order | Figured bass | Semitones | Span |
|---|---|---|---|---|---|
| Root position | A | A3, C4, E♭4 | 5/3 | 6 | 83 mm |
| First inversion: Adim/C | C | C4, E♭4, A4 | 6/3 | 9 | 124 mm |
| Second inversion: Adim/E♭ | E♭ | E♭4, A4, C5 | 6/4 | 9 | 124 mm |
One position per chord tone in the bass. Spans are for close position: voiced inversions appear under Voicings.
| Progression | Key | Role | Sequence | Voice leading |
|---|---|---|---|---|
| ii°, v, i | G minor | ii° | Adim to Dm to Gm | Adim opens the phrase |
| vii°, I | B♭ major | vii° | Adim to B♭ | Adim opens the phrase |
Root motion, common tones and voice displacement are computed from pitch class sets. Roman numerals follow common practice functional harmony.
Which keys it belongs to
| Key | Roman numeral | Function |
|---|---|---|
| G minor | ii° | Predominant |
| B♭ major | vii° | Dominant function |
Classification system: common-practice functional harmony.
Change one note
Chords a single note away, and what moving that note does.
| Chord | Change | Formula | Common tones |
|---|---|---|---|
| Am7♭5 | adds G | 1 ♭3 ♭5 ♭7 | 3 |
| Adim7 | adds G♭ | 1 ♭3 ♭5 ♭♭7 | 3 |
| Am | E♭ becomes E | 1 ♭3 5 | 2 |
| Am7 | E♭ becomes E, G | 1 ♭3 5 ♭7 | 2 |
| AmMaj7 | E♭ becomes E, G♯ | 1 ♭3 5 7 | 2 |
| Am6 | E♭ becomes E, F♯ | 1 ♭3 5 6 | 2 |
| A | C, E♭ becomes C♯, E | 1 3 5 | 1 |
| Aaug | C, E♭ becomes C♯, E♯ | 1 3 ♯5 | 1 |
| Asus2 | C, E♭ becomes B, E | 1 2 5 | 1 |
| Asus4 | C, E♭ becomes D, E | 1 4 5 | 1 |
Frequencies
| Note | MIDI | Frequency |
|---|---|---|
| A3 | 57 | 220.00 Hz |
| C4 | 60 | 261.63 Hz |
| E♭4 | 63 | 311.13 Hz |
Reference pitch A440, 12-TET, close root position.
Set theory: prime form, Forte number, interval vector
- Absolute pitch class set
- {9, 0, 3}
- Normal order
- [9, 0, 3]
- Prime form
- (036)
- Forte number
- 3-10
- Interval vector
- <002001>
| Pair | Interval | Semitones | Interval class |
|---|---|---|---|
| A to C | Minor third | 3 | 3 |
| A to E♭ | Tritone | 6 | 6 |
| C to E♭ | Minor third | 3 | 3 |
Where these facts come from
Every value on this page is derived from the note formula for a diminished applied to the root A, using standard music theory. Nothing here is hand-entered per chord, so the notes, intervals, inversions and frequencies cannot drift out of agreement with each other. Pitches assume 12-TET at A440.